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855429120 = 21233571317
BaseRepresentation
bin110010111111001…
…101000000000000
32012121122022011000
4302333031000000
53222442212440
6220514452000
730125012310
oct6277150000
92177568130
10855429120
113a995a617
121ba594000
131082bc4a0
1481877440
1550175730
hex32fcd000

855429120 has 832 divisors, whose sum is σ = 3963133440. Its totient is φ = 169869312.

The previous prime is 855429031. The next prime is 855429163. The reversal of 855429120 is 21924558.

855429120 is a `hidden beast` number, since 8 + 5 + 542 + 91 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50319352 + ... + 50319368.

Almost surely, 2855429120 is an apocalyptic number.

855429120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981566720).

855429120 is an abundant number, since it is smaller than the sum of its proper divisors (3107704320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

855429120 is a wasteful number, since it uses less digits than its factorization.

855429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 855429120 is about 29247.7199111315. The cubic root of 855429120 is about 949.2807556904.

The spelling of 855429120 in words is "eight hundred fifty-five million, four hundred twenty-nine thousand, one hundred twenty".